Check sibling questions

If 217x + 131y = 913, 131x + 217y = 827, then x + y is

(a) 5   (b) 6   (c) 7   (d) 8


Transcript

Question 24 If 217𝑥 + 131𝑦 = 913, 131𝑥 + 217𝑦 = 827, then 𝑥 + 𝑦 is (a) 5 (b) 6 (c) 7 (d) 8Given equations 217𝑥 + 131𝑦 = 913 …(1) 131𝑥 + 217𝑦 = 827 …(2) Adding both equations (1) and (2) (217𝒙 + 131𝒚) + (131𝒙 + 217𝒚) = 913 + 827 (217𝑥 + 131𝑥) + (131𝑦 + 217𝑦) = 1740 348𝑥 + 348𝑦 = 1740 348 (𝒙 + 𝒚) = 1740 𝑥 + 𝑦 = 1740/348 𝑥 + 𝑦 = 5 So, the correct answer is (a)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo